On the uniqueness of weak solutions for the 3D viscous magneto-hydrodynamic equations

DOI10.1016/j.na.2011.04.059zbMath1292.35246OpenAlexW2047030770MaRDI QIDQ549935

Qian Zhang

Publication date: 19 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.059

zbMATH Keywords

weak solutionuniquenessMHD equationsFourier localizationBony's paraproduct decomposition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Remarks on the uniqueness of weak solution for the 3D viscous magneto-hydrodynamics equations in \(B^1_{\infty,\infty}\)

Cites Work

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• Bounds and new approaches for the 3D MHD equations
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Some mathematical questions related to the mhd equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

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